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5461331645 = 571114185277
BaseRepresentation
bin1010001011000010…
…10100111010111101
3112002121110101121102
411011201110322331
542141100103040
62301531142445
7252223360460
oct50541247275
915077411542
105461331645
112352863330
121084ba4a25
136905c52b3
1439b46d2d7
1521e6d2515
hex145854ebd

5461331645 has 16 divisors (see below), whose sum is σ = 8170720128. Its totient is φ = 3404466240.

The previous prime is 5461331639. The next prime is 5461331713.

5461331645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5461331645 - 28 = 5461331389 is a prime.

It is a super-2 number, since 2×54613316452 = 59652286673356812050, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5461331599 and 5461331608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7092254 + ... + 7093023.

It is an arithmetic number, because the mean of its divisors is an integer number (510670008).

Almost surely, 25461331645 is an apocalyptic number.

5461331645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5461331645 is a deficient number, since it is larger than the sum of its proper divisors (2709388483).

5461331645 is a wasteful number, since it uses less digits than its factorization.

5461331645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14185300.

The product of its digits is 129600, while the sum is 38.

The square root of 5461331645 is about 73900.8230333059. The cubic root of 5461331645 is about 1761.0276846073.

The spelling of 5461331645 in words is "five billion, four hundred sixty-one million, three hundred thirty-one thousand, six hundred forty-five".

Divisors: 1 5 7 11 35 55 77 385 14185277 70926385 99296939 156038047 496484695 780190235 1092266329 5461331645